Filter Design for Generalized Frequency-Division Multiplexing

摘要

In this paper, optimal filter design for generalized frequency-divisionmultiplexing (GFDM) is considered under two design criteria: rate maximizationand out-of-band (OOB) emission minimization. First, the problem of GFDM filteroptimization for rate maximization is formulated by expressing the transmissionrate of GFDM as a function of GFDM filter coefficients. It is shown thatDirichlet filters are rate-optimal in additive white Gaussian noise (AWGN)channels with no carrier frequency offset (CFO) under linear zero-forcing (ZF)or minimum mean-square error (MMSE) receivers, but in general channelsperturbed by CFO a properly designed nontrivial GFDM filter can yield betterperformance than Dirichlet filters by adjusting the subcarrier waveform to copewith the channel-induced CFO. Next, the problem of GFDM filter design for OOBemission minimization is formulated by expressing the power spectral density(PSD) of the GFDM transmit signal as a function of GFDM filter coefficients,and it is shown that the OOB emission can be reduced significantly by designingthe GFDM filter properly. Finally, joint design of GFDM filter and window forthe two design criteria is considered.